How to create a kinetic depth effect illusion?
At its simplest, something like this?

Create an environment-sphere, and put the camera and target object inside it.



Give the sphere your desired star-field texture in its object space, something like this:



Give the target a copy of the material: you will change its texture-scale manually to match the background as closely as possible.
Give the camera a reasonably long focal length. (Here, 100mm.) The more closely the camera approaches orthographic, and the more distant the target from the camera, the less apparent variation in texture-scale there will be between the near and far points of the target, but you sacrifice some perspectival visual cues.

For this sort of result:

I guess you could automate the scale of the texture according to the distance of the shading-point from the camera, but I'm not sure the resultant 'swimming' of the object through the texture would help.. I haven't tried it.